RE: MOS and Rothenberg

>2. Can a proper scale with one and only one ambiguous interval in each
mode
>exist?

I don't know what modes have to do with it, as all modes of a scale have
the same intervals, but isn't the usual diatonic scale in 12-tone equal
temperament an example?

>3. What about a proper scale with one and only one ambiguous interval
in
>each interval (steps) class?

An ambiguity occurs between two intervals, therefore it is hard to know
what you mean by "one ambiguous interval." How about C D E F# G# in
12-tET?

>4. Can somebody show a method for finding which tunings will support a
>given rank-order matrix? Preferably one that works on both just and
equal
>step scales?

What's a rank-order matrix? Can it apply to meantone-type or Keenan-type
scales as well?